Question

Which of the following is the explicit rule for the sequence -3, -11, -19, -27, -35 ... ?

A) f(n) = -3 - 8(n-1)
B) f(n) = -3 + 8(n-1)
C) f(n) = -8 + 3(n-1)
D) f(n) = -8 - 3(n-1)

Answer 1

The explicit rule for the sequence -3, -11, -19, -27, -35 ... is f(n) = -3 - 8(n-1). Each term is found by subtracting 8 from the previous term.

Step-by-step explanation:

The explicit rule for the sequence -3, -11, -19, -27, -35 ... is f(n) = -3 - 8(n-1).

In this sequence, each term is found by subtracting 8 from the previous term. To find the nth term, we start with -3 and subtract 8 multiplied by (n-1). For example, to find the 4th term, we have f(4) = -3 - 8(4-1) = -3 - 8(3) = -3 - 24 = -27.